By probability , An average rate of one mutation per 12,400 A.A geneticist is examining a strand of DNA .
Describe probability using an example?
By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are just two outcomes when you flip a coin: either it comes up heads or tails.The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.The four most popular approaches to probability are classical, empirical, subjective, and axiomatic.Suppose that, in a strand f DNA ,mutations occur randomly and independently of other mutations .
at an average rate of one mutation per 12,400 A.A geneticist is examining a strand of DNA .
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Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the mean of the sample means?.
The mean of the sample means of the given data is 40
The provided sample size is 100, with a standard deviation 20and mean of the as 25.
Mean of the population, μ = 25
The standard deviation of the population, σ = 20.
Size of the sample, n = 100
Let X be the mean of the sample means,
The formula for the sample mean is
X = μ
where μ, as we know is the mean of the population
By substituting the value in the above equation, we get
X = 40
Therefore, we get the mean of the sample means is 40
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if you know this your smartest person in the world
What is the measure of angle 1, angle 5, angle 2, angle 8, and angle 7? Angle 4 = 72 degrees.
The unknow angles are as follows:
m∠1 = 108 degreesm∠2 = 72 degreesm∠5 = 108 degrees.m∠7 = 108 degreesm∠8 = 72 degreesHow to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
Therefore,
m∠4 = 72 degrees
Hence,
m∠1 + m∠4 = 180 (angle on a straight line)
m∠1 = 180 - 72
m∠1 = 108 degrees
m∠2 = m∠4 (vertically opposite angles)
Vertical angles are the angles formed when two lines intersect each other. Vertical angles are congruent.
Therefore,
m∠2 = 72 degrees
m∠5 = m∠1 (corresponding angles)
Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.
m∠5 = 108 degrees.
m∠7 = m∠5(vertically opposite angles)
m∠7 = 108 degrees
m∠8 = m∠2 (alternate exterior angles)
Alternate exterior angles are congruent.
m∠8 = 72 degrees
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Augustina has 2 posters with length x inches. One poster has a width of x+3 inches, and the other has a width of x+7 inches. Write an expression to represent the area of wall that the posters will cover.
Answer:
20 inches
Step-by-step explanation:
7x2=14
3x2=6
14+6=20
The following figure is made of a square and a rectangle.
What is the perimeter of the figure?
Consequently, the combined perimeter of the square and rectangle in the previous diagram is 36 cm.
What is the perimeter of the quadrilateral?We combine each side's value.
For instance, the typical solution is to multiply the length by two and the width by two, then add the results to determine the perimeter if the quadrilateral is a square, rectangle, parallelogram, or any other shape with two equal opposite sides and angles.
In the given diagram, we can infer that
the diagram is a combination of a square and a rectangle
so for the rectangle:
the perimeter is =2(l+b)
=2(8+5)
=26 cm
so for the square :
the perimeter is =2(side +side):
=2(5+5)
=20cm
to get the total perimeter ,we will add both the perimeters but subtract one side (5cm) because it is common in both the quadrilaterals twice:
so we get:
20+26-10=36cm
Therefore, the perimeter of the preceding diagram of a square and a rectangle combined is 36cm.
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The temperature during a very cold day is recorded every 2 hours for 12 hours. The data are given in the table below. What type of polynomial would best model these data?
cubic
linear
quartic
quadratic
Answer: A. Cubic
Step-by-step explanation:
What is the special angle pair relationship between the two
Answer: same side interior angles
Step-by-step explanation:
there are 6 boys and 14 girls in a class what is the percentage
Answer:
percentage of boys:
6/20x100
=30%
percentage of girls:
14/20x100
=70%
Answer:
Step-by-step explanation:
70%
*PLEASE SOLVE!!!*
In late 1897, Amos Dolbear published an article called “The Cricket as a Thermometer." He had determined that the outside temperature (in Fahrenheit) shared a linear relationship with the number of times the snowy tree cricket would chirp per . If you count the number of cricket chirps per (while sitting inside your warm house), then you can find the temperature outside. In his research, Dolbear concluded that for every extra cricket chirp per second, the temperature was 1/4*F higher. Furthermore, he found that when the number of cricket chirps per minute was 120, the temperature outside was 70*F.
What are the quantities in this scenario?
What in the problem suggests or indicates that the relationship between the temperature and the number of chirps per minute should be linear?
If you graph the relationship, what will be the value of the slope of the graph?
What is the y-intercept?
Answer:
The equations is t = 1/4n + 40
The slope is 1/4 and the y-intercept is 40
t is the temperature.
n is the number of chirps per minute.
Step-by-step explanation:
A 3 lb (1.36 kg) bag of carrots cost $3.25, a 75 lb (ca. 34 kg) bag of carrots cost $4.75, which is the better deal?
Answer:
The second bag (4.75)
Step-by-step explanation:
Hi, can someone help me answer
In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log(x) to achieve the graph of g(x)=log(-3x+9)+4.
The transformation that takes place on the parent function ( f (x) = log (x) ) to achieve the graph of g(x)=log(-3x+9)+4 can be described as a reflection across the y-axis. Then you horizontally shrink a factor of three; shift three units to the right, and shift four units upwards.
The explanation is as follows:Step 1: The parent graph is to be translated 3 units to the right side to achieve: y = log (x-3)
2. Shrink the graph by a factor of three by multiplying x by three:
⇒ y = log 3(x-3)
3. Reflect the function y = log 3(x-3) across line -3 = x to achieve:
y = -3(x-3)
4. Translate the function y = log 1-3(x-3) four units upwards to achieve
y = log (-3 + 9) +4
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Mrs. Williams made her homemade chicken soup she made 6 3⁄4 cups of soup each servings was 1 1⁄8 cup how many servings are there trying to explain to her how to do it not just give her the answer that it's 6
Answer:
Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. = 6
Step-by-step explanation:
this picture below shows how to solve the problem step by step hope this really helps !
in scientific notation 8599000000 = 8.559 x 10^z what is the value of x
Answer:
z = 9
Step-by-step explanation:
X is not a valve is it a multiplication sign. I believe that you are looking for the value of z.
To find the value of z you simply have to count how many times you moved the decimal point. In this case you move the decimal point 9 times. Since you move it to the left z is positive. Z=9
William works at a nearby electronics store. He makes a commission of 6\%6%6, percent on everything he sells. If he sells a computer for \$764.00$764.00dollar sign, 764, point, 00, how much money does William make in commission?
\$\
Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.
How to find the money made from commission?Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for.
The commission to William here can be found by the formula:
= Percentage made for commission on everything sold x Amount that the computer sold for
Solving for the commission to William gives:
= 6 % x 764
= 0. 06 x 764
= $ 45.84
In conclusion, the commission that William made from the sale of the computer which was valued at $ 764 is $ 45.84.
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Answer:
45. 84
Step-by-step explanation:
Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.How to find the money made from commission?Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for. The commission to William here can be found by the formula:= Percentage made for commission on everything sold x Amount that the computer sold for Solving for the commission to William gives:= 6 % x 764 = 0. 06 x 764= $ 45.84
question in screenshot
The value of tan33° is 11/20.
What is a right triangle?A triangle with an angle measure of 90° is called a right triangle.
Given that, tan(x) = (length of the opposite side)/ (length of an adjacent side)
Therefore, for the given triangle, it follows:
tan33° = 11/20
Hence, the value of tan33° is 11/20.
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17% of 56
…………………………….
Answer: 9.52
Step-by-step explanation: I looked it up but you would do 17 divided by 56 and get a decimal and then move the decimal point over 2 spaces to the right and then you have your answer.
Hope it helped
ee piles of rocks. the mean weight of the rocks in a is 40 pounds, the mean weight of the rocks in b is 50 pounds, the mean weight of the rocks in the combined piles a and b is 43 pounds, and the mean weight of the rocks in the combined piles a and c is 44 pounds. what is the greatest possible integer value for the mean in pounds of the
The greatest possible integer value for the mean is calculated as 59.
What is defined as the consistent solution?A system is said to be consistent if it has at least one solution. A consistent system is independent if it has exactly one solution. It is dependent if a consistent system has had an infinite number of solutions.Assume that the three piles contain A,B,C rocks, that mean of pile C is x, and the mean of a combination of B and C is y. We will maximize y if the following conditions are met:
40A + 50B = 43(A+B)
40A + xC = 44(A+C)
50B + xC = y(B+C)
that can be reorganized as follows:
7B = 3A
(x - 44)C = 4A
(x - y)C = (y - 50)B
Let's see if y=59 is possible. If so, it's already the solution. Otherwise, there will be an inconsistency. As a result, the third equation is as follows:
(x - 59)C = 9B.
So, 15C = (x-44)C - (x-59)C = 4A - 9B
45C = 4(3A) - 27B = 28B - 27B,
105C = 28A-9(7B) = A
Thus,
A = 105C, B = 45C, Put the values
x = 4(105) + 44 = 464, That gives consistent solution.
Therefore, the value of y is found to be 59, the greatest possible integer value for the mean.
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Twice a number increased by twenty is at least eighty-five. Select all possible values of the number.
Answer:
2x+20≥84
2x≥64
x≥32
Step-by-step explanation:
A student needs to select a statistical question to research for a project. Which of the following questions should the student select? A How many days have I been absent from school this year? B How many students in the school were absent on November 1st of this school year? C How many days have each of the students in my class been absent this month? D How many students in my class were absent last Wednesday? PLSS HELP OH GOD I WANT TO PAST
When the student needs to select a statistical question to research for a project, the question that he should select is D. How many students in my class were absent last Wednesday?
How to illustrate the information?Any question that may be answered statistically is one for which data collection is possible and for which there will be some degree of data variability. Because there is no variability in the data used to answer the question, questions that can only be answered with a single data point are not statistical questions.
To do research for a project, a student must choose a statistical question. In this case, it should be noted that it's important to select a question that's specific. This was illustrated by option D.
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-30 19/40 as a decimal
The conversion of the fraction -30 ¹⁹/₄₀ to decimal is expressed as; -30.475
How to convert fraction to Decimal?
Fractions usually have a numerator and denominator. Now, fractions can also be expressed as mixed fraction, improper fraction and proper fraction.
Now, we are given the fraction in mixed fraction. This is expressed as;
-30 ¹⁹/₄₀ = -30 - ¹⁹/₄₀
Now, the proper fraction part of the mixed fraction can be expressed as;
¹⁹/₄₀ = 0.475
Thus, our fraction is now;
-30 - 0.475 = -30.475
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Round 0.898 to the nearest hundred
Answer:
0.900.........
Step-by-step explanation:
thats it
0.898 rounded to nearest hundred will be 0.90 .
Given,
Number = 0.898
Here,
Now when we round numbers, anything greater than 5 gets rounded up, and anything less than 5 gets rounded down.
So 9 is greater than 5 thus the number will be rounded off to 0.90 .
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In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle.
a=229,b=244, and A = 37.8°
By the Law of Sines,
[tex]\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ =\frac{244\sin 37.8^{\circ}}{229} \\ \\ B \approx 37.42^{\circ}, 142.58^{\circ}[/tex]
Of these, only 37.42° is a possible value of B (sum of angles of a triangle is 180°).
So, we have that:
[tex] a=229, b=244, A=37.8^{\circ}, B=\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)[/tex]
Angles of a triangle add to 180°, so:
[tex]C=180^{\circ}-A-B=142.2^{\circ}-\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)
[/tex]
Using the Law of Sines again,
[tex]\frac{c}{\sin C}=\frac{a}{\sin A} \\ \\ c=\frac{a \sin C}{\sin A} \\ \\ =\frac{244\sin \left(142^{\circ}-\arcsin \left(\frac{244 \sin 37.8^{\circ}}{229} \right) \right)}{\sin 37.8^{\circ}}[/tex]
So, there is one possible triangle, where:
[tex]a=229 \\ \\ b=244 \\ \\ c=\frac{244\sin \left(142^{\circ}-\arcsin \left(\frac{244 \sin 37.8^{\circ}}{229} \right) \right)}{\sin 37.8^{\circ}} \\ \\ A=37.8^{\circ} \\ \\ B=\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right) \\ \\ C=142.2^{\circ}-\arcsin \left(\frac{244\sin 37.8^{\circ}}{229} \right)[/tex]
Write the equation of the line that passes through the points (-1,4)and (−1,0). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
well, the tell-tale part in the points will be the coordinates, hmmm now, the x-coordinate for both points is the same, well, that simply means is a vertical line. Check the picture below.
Nara wants to determine how much ice it will take to fill her cooler . If the cooler has a length of 22 inches, a width of 12 inches, and a height of 1012 inches, how much ice will her cooler hold?
Answer:
267,168 inches
Step-by-step explanation:
If your box is a rectangular prism or a cube, the only information you need is the box's length, width, and height. You can then multiply them together to get volume. This formula is often abbreviated as V = l x w x h.
Volume = L × W × H
Where,
L means lengthW means widthH means heightVolume = 22 inches × 12 inches × 1012 inches
Volume = 267,168 inches
So, her cooler can hold 267,168 inches of ice
Mr. Brown's class has 20 students. 6 of the students have blonde hair. What
percent of the students have blonde hair?
Answer:
30%
Step-by-step explanation:
6/20 = .3
.3 x 100 = 30
Write the vertex form of the following function. (fill in each blank with the correct numerical
value: include the sign where needed)
An absolute value function with a vertex of (-12,10) and passes through the points (4, 6) and
(-8, 9).
Answer:
-1/4 Abs(x+12) + 10
Step-by-step explanation:
The vertex form of an absolute function is of the form
y = a|x -h| + k here |x-h| is the absolute value
where (h, k) are the coordinates (x, y) of the vertex
The vertex is given as (-12, 10)
So h = -12, k = 10
Plugging these in we get the vertex form as
y = a|x - (-12)| + 10
y = a|x + 12| + 10
All it remains is to find a
Given point (4, 6) as a point on the graph, plug these values
y = 6 = a|4 + 12| + 10
6 = a|16| + 10
6 = 16a + 10 since absolute value of a positive number is the number
Switch sides
16a + 10 = 6
Subtract 10 from both sides:
16a + 10 - 10 = 6 - 10
16a = -4
a = -1/4
So the equation of the function is
y = -1/4|x + 12| + 10
The second point is not needed to derive the function equation but let's use it to verify our calculated equation
Point (-8, 9)
Plug x = -8, into y = -1/4|x + 12| + 10
=> y = -1/4|-8+12| + 10
=> y = -(1/4)·4 + 10
=> y = -1 + 10
= y = 9 which matches with the y -coordinate of the second point
So everything looks cool
Final Solution
-1/4 Abs(x+12) + 10
For - 1/4 if it does not accept fractions, enter -0.25
I have also provided a screenshot which shows what should go into each box to help you out
Hope that helps and feel free to ask any clarifications
What number is composed of 6 ones,22 tenths,33 thousandths and 44 thousandths.
Answer:
8.277
Step-by-step explanation:
Pretty simple, just add up the values but convert the word form into decimals.
[tex]6+2.2+0.033+0.044=8.277[/tex]
Also, your question said 33 thousandths, so it is what I answered.
Answer:
8.277
Step-by-step explanation:
Find the equation of the line.
a line that is perpendicular to the graph of y=-3x +2 and
contains the point (3,-3)
Answer: y = -3x + 6
Step-by-step explanation:
If it is perpendicular to the line -3x + 2, then it's slope should also be -3.
The standard form of a line is y = mx + b. As our slope is -3, we have that our line is y = -3x+b. Now, let's put the given point into the line. x = 3 and y = -3, so -3 = -3*3 + b. Hence, b = -3+9 = 6. The equation of the line is y = -3x + 6.
Please Help I don’t want to fail this test my grade is low!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/3
Step-by-step explanation:
the is slope of this graph is 1_3
Answer:
1/3
Plssssss mark as brainliest
Step-by-step explanation:
To find the slope of a graph you need to look for 2 pairs of accurate xand y values
First value which is accurate is:
x = 1 and y= 4
Second pair which is accurate is :
x = 7 and y = 6
Gradient = rise/run = y2-y1/x2-x1
im taking y2 as 6, x2 as 7, y1 as 4 and x1 as1
6-4/7-1
=2/6
=1/3
A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft2. What are its dimensions?
Answer:
width=x
length=5x
area= 300ft2
area=lxb
300=5x(x)
300=5x^2
x^2=60
x=7.74
7.74(5)=38.7
dimensions are 38.7ft by 7.74 ft
Please mark as brainliest
Step-by-step explanation:
the area of a rectangle is
length × width = 300 ft²
length = width + 5
(width + 5) × width = 300
width² + 5×width = 300
width² + 5×width - 300 = 0
the general solution to such a quadratic equation is
width = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 5
c = -300
width = (-5 ± sqrt(5² - 4×1×-300))/(2×1) =
= (-5 ± sqrt(25 + 1200))/2 =
= (-5 ± sqrt(1225))/2 = (-5 ± 35)/2
width1 = (-5 + 35)/2 = 30/2 = 15 ft
width2 = (-5 - 35)/2 = -40/2 = -20 ft
negative lengths for an actual object don't make sense, so width = 15 ft is our solution.
length = width + 5 = 15 + 5 = 20 ft